Chat-Based Support Alone May Not Be Enough: Comparing Conversational and Embedded LLM Feedback for Mathematical Proof Learning.

John Mackey Eason Chen Sophia Judicke Kayla Beigh Xinyi Tang Yumo Wang Mingyu Yuan Zimo Xiao Chuangji Li Shizhuo Li Reed Luttmer Shreya Singh Maria Yampolsky Naman Parikh Yvonne Zhao Meiyi Chen Cheng Huang Anishka Mohanty Gregory Johnson John Mackey Jionghao Lin Ken Koedinger Chat-Based Support Alone May Not Be Enough: Comparing Conversational and Embedded LLM Feedback for Mathematical Proof Learning. AIED 2026 601-610 conf/aied/2026-4 https://doi.org/10.1007/978-3-032-29763-1_41 db/conf/aied/aied2026-4.html#ChenJBTWYXLLLSYPZCHMJML26 streams/conf/aied Jenny Quan Noah Kim Bernardo Subercaseaux John Mackey Solving Small Rubik's Cubes as Slowly as Possible. 38:1-38:20 2026 FUN https://doi.org/10.4230/LIPIcs.FUN.2026.38 conf/fun/2026 db/conf/fun/fun2026.html#QuanKSM26

Eason Chen Sophia Judicke Kayla Beigh Xinyi Tang Isabel Wang 0003 Nina Yuan Zimo Xiao Chuangji Li Shizhuo Li Reed Luttmer Shreya Singh Maria Yampolsky Naman Parikh Yvonne Zhao Meiyi Chen Scarlett Huang Anishka Mohanty Gregory Johnson John Mackey Jionghao Lin Ken Koedinger Chat-Based Support Alone May Not Be Enough: Comparing Conversational and Embedded LLM Feedback for Mathematical Proof Learning. 2026 February abs/2602.18807 CoRR https://doi.org/10.48550/arXiv.2602.18807 db/journals/corr/corr2602.html#abs-2602-18807 streams/journals/corr

Benjamin Przybocki John Mackey Marijn J. H. Heule Bernardo Subercaseaux Doubly Saturated Ramsey Graphs: A Case Study in Computer-Assisted Mathematical Discovery. 2026 April abs/2604.21187 CoRR https://doi.org/10.48550/arXiv.2604.21187 db/journals/corr/corr2604.html#abs-2604-21187 streams/journals/corr

Eason Chen Sophia Judicke Kayla Beigh Xinyi Tang Zimo Xiao Chuangji Li Shizhuo Li Reed Luttmer Shreya Singh Maria Yampolsky Naman Parikh Yi Zhao Meiyi Chen Scarlett Huang Anishka Mohanty Gregory Johnson John Mackey Jionghao Lin Ken Koedinger Generative AI alone may not be enough: Evaluating AI Support for Learning Mathematical Proof. 2025 September abs/2509.16778 CoRR https://doi.org/10.48550/arXiv.2509.16778 db/journals/corr/corr2509.html#abs-2509-16778 streams/journals/corr

Bernardo Subercaseaux John Mackey Marijn J. H. Heule Ruben Martins Automated Mathematical Discovery and Verification: Minimizing Pentagons in the Plane. 21-41 2024 CICM https://doi.org/10.1007/978-3-031-66997-2_2 conf/mkm/2024 db/conf/mkm/cicm2024.html#SubercaseauxMHM24 streams/conf/mkm

John Mackey Bernardo Subercaseaux Pentagon Minimization without Computation. 2024 abs/2409.17098 CoRR https://doi.org/10.48550/arXiv.2409.17098 db/journals/corr/corr2409.html#abs-2409-17098 streams/journals/corr

Bernardo Subercaseaux John Mackey Marijn J. H. Heule Ruben Martins Minimizing Pentagons in the Plane through Automated Reasoning. 2023 abs/2311.03645 CoRR https://doi.org/10.48550/arXiv.2311.03645 db/journals/corr/corr2311.html#abs-2311-03645

David Neiman John Mackey Marijn Heule Tighter Bounds on Directed Ramsey Number R(7). 156 2022 38 Graphs Comb. 5 https://doi.org/10.1007/s00373-022-02560-5 db/journals/gc/gc38.html#NeimanMH22

Joshua Brakensiek Marijn Heule John Mackey David E. Narváez The Resolution of Keller's Conjecture. 277-300 2022 66 J. Autom. Reason. 3 https://doi.org/10.1007/s10817-022-09623-5 https://www.wikidata.org/entity/Q113901233 db/journals/jar/jar66.html#BrakensiekHMN22

Danny Crytser Natasha Komarov John Mackey Containment: A Variation of Cops and Robber. 591-605 2020 36 Graphs Comb. 3 https://doi.org/10.1007/s00373-020-02140-5 db/journals/gc/gc36.html#CrytserKM20

Joshua Brakensiek Marijn Heule John Mackey David E. Narváez The Resolution of Keller's Conjecture. 48-65 2020 IJCAR (1) https://doi.org/10.1007/978-3-030-51074-9_4 conf/cade/2020-1 db/conf/cade/ijcar2020-1.html#BrakensiekHMN20 Joshua Brakensiek Marijn Heule John Mackey David E. Narváez The Resolution of Keller's Conjecture - Computation Logs. 2020 April https://doi.org/10.5281/zenodo.3755117 Zenodo streams/repo/zenodo

Joshua Brakensiek Marijn Heule John Mackey The Resolution of Keller's Conjecture. 2019 abs/1910.03740 CoRR http://arxiv.org/abs/1910.03740 db/journals/corr/corr1910.html#abs-1910-03740

Natasha Komarov John Mackey On the Number of 5-Cycles in a Tournament. 341-356 2017 86 J. Graph Theory 3 https://doi.org/10.1002/jgt.22130 db/journals/jgt/jgt86.html#KomarovM17

Mikhail Lavrov Mitchell Lee John Mackey Improved upper and lower bounds on a geometric Ramsey problem. 135-144 2014 42 Eur. J. Comb. https://doi.org/10.1016/j.ejc.2014.06.003 https://www.wikidata.org/entity/Q56171708 db/journals/ejc/ejc42.html#LavrovLM14

John Mackey A Cube Tiling of Dimension Eight with No Facesharing. 275-279 2002 28 Discret. Comput. Geom. 2 https://doi.org/10.1007/s00454-002-2801-9 https://www.wikidata.org/entity/Q55919311 db/journals/dcg/dcg28.html#Mackey02

John Mackey A lower bound for groupies in graphs. 323-326 1996 21 J. Graph Theory 3 https://doi.org/10.1002/(SICI)1097-0118(199603)21:3<323::AID-JGT7>3.0.CO;2-S db/journals/jgt/jgt21.html#Mackey96

Kayla Beigh Joshua Brakensiek Eason Chen Meiyi Chen Danny Crytser Marijn HeuleMarijn J. H. Heule Cheng Huang Scarlett Huang Gregory Johnson Sophia Judicke Noah Kim Kenneth R. KoedingerKen Koedinger Natasha Komarov Mikhail Lavrov Mitchell Lee Chuangji Li Shizhuo Li Jionghao Lin Reed Luttmer Ruben Martins Anishka Mohanty David E. Narváez David Neiman Naman Parikh Benjamin Przybocki Jenny Quan Shreya Singh Bernardo Subercaseaux Xinyi Tang Isabel Wang 0003 Yumo Wang Zimo Xiao Maria Yampolsky Mingyu Yuan Nina Yuan Yi Zhao Yvonne Zhao